updated examples

1 files changed, 30 insertions, 30 deletions

diff --git a/examples/api/bitvectors.cpp b/examples/api/bitvectors.cpp
index 4701bf8e3..a0c43142d 100644
--- a/examples/api/bitvectors.cpp
+++ b/examples/api/bitvectors.cpp
@@ -10,7 +10,7 @@
  ** information.\endverbatim
  **
  ** \brief A simple demonstration of the solving capabilities of the CVC4
- ** bit-vector solver. 
+ ** bit-vector solver.
  **
  **/
 
@@ -27,7 +27,7 @@ int main() {
   SmtEngine smt(&em);
   smt.setOption("incremental", true); // Enable incremental solving
   smt.setLogic("QF_BV");              // Set the logic
-  
+
   // The following example has been adapted from the book A Hacker's Delight by
   // Henry S. Warren.
   //
@@ -39,14 +39,14 @@ int main() {
   //    else x = a;
   //
   // Two more efficient yet equivalent methods are:
-  // 
-  //(1) x = a ⊕ b ⊕ x; 
+  //
+  //(1) x = a ⊕ b ⊕ x;
   //
   //(2) x = a + b - x;
   //
   // We will use CVC4 to prove that the three pieces of code above are all
-  // equivalent by encoding the problem in the bit-vector theory. 
-  
+  // equivalent by encoding the problem in the bit-vector theory.
+
   // Creating a bit-vector type of width 32
   Type bitvector32 = em.mkBitVectorType(32);
 
@@ -56,57 +56,57 @@ int main() {
   Expr b = em.mkVar("b", bitvector32);
 
   // First encode the assumption that x must be equal to a or b
-  Expr x_eq_a = em.mkExpr(kind::EQUAL, x, a); 
+  Expr x_eq_a = em.mkExpr(kind::EQUAL, x, a);
   Expr x_eq_b = em.mkExpr(kind::EQUAL, x, b);
-  Expr assumption = em.mkExpr(kind::OR, x_eq_a, x_eq_b); 
+  Expr assumption = em.mkExpr(kind::OR, x_eq_a, x_eq_b);
 
   // Assert the assumption
-  smt.assertFormula(assumption); 
-  
-  // Introduce a new variable for the new value of x after assignment. 
-  Expr new_x = em.mkVar("new_x", bitvector32); // x after executing code (0) 
+  smt.assertFormula(assumption);
+
+  // Introduce a new variable for the new value of x after assignment.
+  Expr new_x = em.mkVar("new_x", bitvector32); // x after executing code (0)
   Expr new_x_ = em.mkVar("new_x_", bitvector32); // x after executing code (1) or (2)
 
   // Encoding code (0)
-  // new_x = x == a ? b : a; 
-  Expr ite = em.mkExpr(kind::ITE, x_eq_a, b, a); 
-  Expr assignment0 = em.mkExpr(kind::EQUAL, new_x, ite); 
+  // new_x = x == a ? b : a;
+  Expr ite = em.mkExpr(kind::ITE, x_eq_a, b, a);
+  Expr assignment0 = em.mkExpr(kind::EQUAL, new_x, ite);
 
   // Assert the encoding of code (0)
-  cout << "Asserting " << assignment0 << " to CVC4 " << endl; 
+  cout << "Asserting " << assignment0 << " to CVC4 " << endl;
   smt.assertFormula(assignment0);
   cout << "Pushing a new context." << endl;
   smt.push();
-  
+
   // Encoding code (1)
   // new_x_ = a xor b xor x
-  Expr a_xor_b_xor_x = em.mkExpr(kind::BITVECTOR_XOR, a, b, x); 
+  Expr a_xor_b_xor_x = em.mkExpr(kind::BITVECTOR_XOR, a, b, x);
   Expr assignment1 = em.mkExpr(kind::EQUAL, new_x_, a_xor_b_xor_x);
 
-  // Assert encoding to CVC4 in current context; 
-  cout << "Asserting " << assignment1 << " to CVC4 " << endl; 
+  // Assert encoding to CVC4 in current context;
+  cout << "Asserting " << assignment1 << " to CVC4 " << endl;
   smt.assertFormula(assignment1);
   Expr new_x_eq_new_x_ = em.mkExpr(kind::EQUAL, new_x, new_x_);
 
   cout << " Querying: " << new_x_eq_new_x_ << endl;
-  cout << " Expect valid. " << endl; 
-  cout << " CVC4: " << smt.query(new_x_eq_new_x_) << endl; 
+  cout << " Expect valid. " << endl;
+  cout << " CVC4: " << smt.query(new_x_eq_new_x_) << endl;
   cout << " Popping context. " << endl;
   smt.pop();
 
   // Encoding code (2)
   // new_x_ = a + b - x
-  Expr a_plus_b = em.mkExpr(kind::BITVECTOR_PLUS, a, b); 
-  Expr a_plus_b_minus_x = em.mkExpr(kind::BITVECTOR_SUB, a_plus_b, x); 
+  Expr a_plus_b = em.mkExpr(kind::BITVECTOR_PLUS, a, b);
+  Expr a_plus_b_minus_x = em.mkExpr(kind::BITVECTOR_SUB, a_plus_b, x);
   Expr assignment2 = em.mkExpr(kind::EQUAL, new_x_, a_plus_b_minus_x);
-  
-  // Assert encoding to CVC4 in current context; 
-  cout << "Asserting " << assignment2 << " to CVC4 " << endl; 
+
+  // Assert encoding to CVC4 in current context;
+  cout << "Asserting " << assignment2 << " to CVC4 " << endl;
   smt.assertFormula(assignment1);
 
   cout << " Querying: " << new_x_eq_new_x_ << endl;
-  cout << " Expect valid. " << endl; 
-  cout << " CVC4: " << smt.query(new_x_eq_new_x_) << endl; 
-  
+  cout << " Expect valid. " << endl;
+  cout << " CVC4: " << smt.query(new_x_eq_new_x_) << endl;
+
   return 0;
 }